O uso da estatística de qui-quadrado no controle de processos

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Gráfico de controle MCMAX para o monitoramento simultâneo do vetor de médias e da matriz de covariâncias

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The non-central chi-square chart with two-stage samplings

In this paper, we consider the non-central chi-square chart with two stage samplings. During the first stage, one item of the sample is inspected and, depending on the result, the sampling is either interrupted, or it goes on to the second stage, where the remaining sample items are inspected and the non-central chi-square statistic is computed. The proposed chart is not only more sensitive than the joint (X) over bar and R charts, but operationally simpler too, particularly when appropriate devices, such as go-no-go gauges, can be used to decide if the sampling should go on to the second stage or not. (c) 2004 Elsevier B.V. All rights reserved.

The no-central chi-square chart with two-stage samplings

Throughout this article, it is assumed that the no-central chi-square chart with two stage samplings (TSS Chisquare chart) is employed to monitor a process where the observations from the quality characteristic of interest X are independent and identically normally distributed with mean μ and variance σ2. The process is considered to start with the mean and the variance on target (μ = μ0; σ2 = σ0 2), but at some random time in the future an assignable cause shifts the mean from μ0 to μ1 = μ0 ± δσ0, δ >0 and/or increases the variance from σ0 2 to σ1 2 = γ2σ0 2, γ > 1. Before the assignable cause occurrence, the process is considered to be in a state of statistical control (defined by the in-control state). Similar to the Shewhart charts, samples of size n 0+ 1 are taken from the process at regular time intervals. The samplings are performed in two stages. At the first stage, the first item of the i-th sample is inspected. If its X value, say Xil, is close to the target value (|Xil-μ0|< w0σ 0, w0>0), then the sampling is interrupted. Otherwise, at the second stage, the remaining n0 items are inspected and the following statistic is computed. Wt = Σj=2n 0+1(Xij - μ0 + ξiσ 0)2 i = 1,2 Let d be a positive constant then ξ, =d if Xil > 0 ; otherwise ξi =-d. A signal is given at sample i if |Xil-μ0| > w0σ 0 and W1 > knia:tl, where kChi is the factor used in determining the upper control limit for the non-central chi-square chart. If devices such as go and no-go gauges can be considered, then measurements are not required except when the sampling goes to the second stage. Let P be the probability of deciding that the process is in control and P 1, i=1,2, be the probability of deciding that the process is in control at stage / of the sampling procedure. Thus P = P1 + P 2 - P1P2, P1 = Pr[μ0 - w0σ0 ≤ X ≤ μ0+ w 0σ0] P2=Pr[W ≤ kChi σ0 2], (3) During the in-control period, W / σ0 2 is distributed as a non-central chi-square distribution with n0 degrees of freedom and a non-centrality parameter λ0 = n0d2, i.e. W / σ0 2 - xn0 22 (λ0) During the out-of-control period, W / σ1 2 is distributed as a non-central chi-square distribution with n0 degrees of freedom and a non-centrality parameter λ1 = n0(δ + ξ)2 / γ2 The effectiveness of a control chart in detecting a process change can be measured by the average run length (ARL), which is the speed with which a control chart detects process shifts. The ARL for the proposed chart is easily determined because in this case, the number of samples before a signal is a geometrically distributed random variable with parameter 1-P, that is, ARL = I /(1-P). It is shown that the performance of the proposed chart is better than the joint X̄ and R charts, Furthermore, if the TSS Chi-square chart is used for monitoring diameters, volumes, weights, etc., then appropriate devices, such as go-no-go gauges can be used to decide if the sampling should go to the second stage or not. When the process is stable, and the joint X̄ and R charts are in use, the monitoring becomes monotonous because rarely an X̄ or R value fall outside the control limits. The natural consequence is the user to pay less and less attention to the steps required to obtain the X̄ and R value. In some cases, this lack of attention can result in serious mistakes. The TSS Chi-square chart has the advantage that most of the samplings are interrupted, consequently, most of the time the user will be working with attributes. Our experience shows that the inspection of one item by attribute is much less monotonous than measuring four or five items at each sampling.

SIG - SPRING aplicado na determinação da capacidade de uso das terras da microbacia do Ribeirão Pouso Alegre - Jaú (SP)

A população mundial vem sofrendo, cada vez mais, as conseqüências das agressões efetuadas pelo homem ao meio ambiente, principalmente quanto à ocupação e uso inadequado das terras, o que ocasiona empobrecimento e depauperamento do solo, influenciando na qualidade e disponibilidade de água, levando à destruição das reservas florestais. Assim, é necessária a implantação de políticas públicas, que contemplem o desenvolvimento econômico, urbano, rural e social de uma região, preservando os recursos naturais para futuras gerações. A bacia em estudo está localizada entre as coordenadas UTM 764942; 7546214 e 741816; 7534759, com uma área de 14699,7ha. Este trabalho visou definir as classes de capacidade de uso de terra da microbacia do Ribeirão Pouso Alegre - Jaú (SP) através do Sistema de Informações Geográficas - SPRING. A carta de capacidade de uso da terra foi elaborada a partir do cruzamento das cartas clinográfica e de solo, que foram elaboradas pelo SIG Spring, e o cruzamento de dados foi feito através do LEGAL - Linguagem Espacial para Geoprocessamento Algébrico. Os resultados mostraram que a microbacia é constituída essencialmente pelas classes II e III e o SIG-SPRING permitiu através dos seus módulos discriminarem e quantificar as áreas das classes de terras, declive e capacidade de uso da terra rapidamente.

Morfometria da microbacia hidrográfica do Ribeirão Faxinal Botucatu - SP e alterações em suas áreas de biomassa no período de 1972 a 2000

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uso do jogo de empresas Bom Burguer para apoiar o processo ensino-aprendizagem com ênfase em empreendedorismo com alunos do ensino médio público

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Carta de risco de colapso de solos para a área urbana do município de Ilha Solteira-SP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Síntese da hidrogeologia nas bacias sedimentares do Amazonas e do Solimões: Sistemas Aquíferos Içá-Solimões e Alter do Chão

Mapas geológicos e cartas estratigráficas das bacias sedimentares do Amazonas e do Solimões foram revisados, ¬enfatizando-se as formações Alter do Chão, Içá e Solimões, detentoras das maiores reservas de água doce subterrânea, nessas bacias. A carência de informações sobre essas formações foi minimizada pela utilização de amostras de sondagens estratigráficas e de perfis construtivos, litológicos e geofísicos de poços de captação de água e de petróleo obtidos na Base Operacional Geólogo Pedro de Moura, região de Urucu, cerca de 650 km a sudoeste de Manaus (AM). Na Bacia do Amazonas, o Sistema Aquífero Alter do Chão comporta aquíferos livres e confinados, com coeficiente de transmissividades entre 1,5 x 10^-3 e 9,1 x 10^-3 m²/s, indicados para abastecimento público; na Bacia do Solimões, esse Sistema é confinado pelo Aquiclude Solimões, ao qual se sobrepõe o Sistema Aquífero Içá-Solimões. A reserva de água estimada é de 33.000 km³. O Sistema Aquífero Içá-Solimões, em Urucu, é livre-confinado, com dois aquíferos hidraulicamente conectados: o mais superficial, com topo e base em profundidades próximas de 20 e 70 m, respectivamente, e o mais profundo, entre 50 e 120 m. Com área de afloramento na Bacia do Solimões de 948.600 km², a reserva estimada desse sistema foi calculada em 7.200 km³, menos expressiva que a do Sistema Aquífero Alter do Chão. Os parâmetros hidrodinâmicos médios foram: T = 3 x 10^-3 m²/s, S = 5 x 10^-4 e K = 1 x 10^-4m/s, de ordens de grandeza similares aos valores encontrados no Sistema Aquífero Alter do Chão. Avaliando-se as inter-relações regionais e potencialidades desses dois sistemas aquíferos procurou-se contribuir para o conhecimento hidrogeológico na Região Hidrográfica Amazônica, onde as pesquisas sobre águas subterrâneas ainda são incipientes.

Aplicação do lean six sigma na linha de produção de turbinas industriais a vapor

This work evaluates the implementation of Lean Six Sigma into the Steam Turbine’s Blades Manufacturing Process, aiming to improve productivity, quality and operational efficiency. Therefore, several tools have been applied, such as VSM, Spaghetti Diagram, Ishikawa, Pareto, DMAIC, Benchmarking and Control Charts, seeking to propose process improvements, as well as Quality Indicators creation. It was obtained a significant waste reduction throughout the process, achieving a lead time reduction of 42% and 83,41% in transport. Also, were introduced the Lean Thinking concepts, such as pull production and Continuous material flow. At the same time, it was possible to calculate the process capability and the sigma level, evaluating and proposing some improvements

Perfil epidemiológico dos pacientes internados na unidade de tratamento de queimaduras do Hospital Estadual de Bauru

Burns are frequent accidents, and they are among the major causes of morbidity and mortality in our society. In Brazil, statistical data on such lesions are relatively scarce, and they are concentrated in a few treatment centers. Data on such accidents allow for specific care to be timely and properly taken in order to provide patients with a better prognosis, in addition to enabling the development of prevention programs as well as fire-prevention safety laws. To characterize the epidemiological profile of users at the Burn Treatment Unit of Bauru State Hospital. Collection of epidemiological data through the e-pront system and from charts of burned inpatients from April 2005 to April 2010. During the studied period, 906 hospitalizations of burned patients occurred, with an annual average of 181.2 individuals. Their mean age was 28.4 years, with a predominance of males. The mean hospitalization period was of 27.6 days, with a median of 16 days and a maximum of 216 days; 14.7% developed to death, with the highest mortality rate in the first two weeks of hospitalization. Second-degree burns were the most frequent; 36.8% of the patients burned less than 10% of their body surface, and there was a gradual frequency reduction when a larger burned surface was taken into account; the greater the affected areas, the higher the number of deaths; 91% resulted from thermal agents, 6% from electric and 2% from chemical agents; scalding was the major cause among all agents, followed by alcohol associated with fire and direct flame. The major area affected areas were the upper limbs. The study shows the need for educational and preventive measures, particularly for the young adult population, by means of educational programs and prevention campaigns

O efeito da autocorrelação no desempenho dos gráficos de X e R e dos gráficos de X e S²

Control charts are very important tools in statistical quality control of industrial processes and its use started last century. Since its development, the charts have always been attributed to independent processes, i.e. without any correlation between samples. But nowadays, with the high level of automation in the industrial environment, it is noticeable the autocorrelation factor between samples. The main Xcharts used in monitoring quality characteristics represented by continuous variables are the mean (X ), amplitude (R) and variance (S²). Therefore, this work aims to analyze the performance of X and R charts and in of X and S² charts with different sample sizes (4 and 5) for monitoring autocorrelated processes. Through computer simulations using the Fortran software and the use of mathematical expressions was possible to obtain data and performance analysis of the detection power charts for independent observations and for autocorrelated observations according to the model AR (1). The results show that the effect of autocorrelation reduces the ability of monitoring the control charts and that, the greater this effect, the slower the chart becomes in misfits signaling

Tempos, movimentos e qualidade da operação de colheita mecanizada de soja em função do formato de talhões

Pós-graduação em Agronomia (Ciência do Solo) - FCAV

A six-year retrospective study of maxillofacial fractures from radiographic findings in Brazil

Objective: this study aimed to present the causes and prevalence of maxillofacial fractures that occurred in the region of Araraquara-SP – Brazil, during a 6-year period. Methods: information regarding age, gender, etiology, and maxillofacial fracture site, as well as type of radiographic examination were evaluated. Data were gathered from the radiographic examination and radiographic report of the Division of Dentomaxillofacial Radiology, and from charts of the Division of Oral and Maxillofacial Surgery of patients attending for maxillofacial fractures from 2004 to 2009. A descriptive statistical analysis was developed using Epi-Info 3.5.1. Results: from a total of 11,728 patients assisted, 407 patients presented maxillofacial fractures. The prevalent age ranged from 21 to 30 years old. From the total patients, 322 were men and 85 were women (ratio of men to women was 3.8:1). Panoramic radiography (n = 306) was most frequently used to observe maxillofacial fractures. Mandibular fractures were frequent in the body of the mandible (n = 127), followed by symphysis (n = 102), and the prevalent cause was traffic accidents (n = 161). Conclusion: more than half of affected individuals were younger than 40 years of age. The body of the mandible was the most common fracture location visualized by panoramic radiography for traffic accidents and fights.

Composição florística e estrutura vegetacional da mata ciliar de um remanescente florestal em Paraguaçu Paulista, SP

Pós-graduação em Biociências - FCLAS